CO1: Apply the concepts of direct products, Abelian groups, and group actions to solve problems

in group theory. (A)

CO2: Analyze group structures using isomorphism and Sylow theorems to classify subgroups and

solve problems in finite group theory. (An)

C03: Develop an understanding of Fermat’s and Euler’s theorems, construct the field of quotients

of an integral domain, and apply polynomial ring concepts to factorization over a field. (A)

CO4: Analyze the properties of homomorphisms and factor rings, and examine the role of prime

and maximal ideals in ring theory.(An)